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Finding the Fourth Proportional to 292,980.84, 439,018.94 and 197,838.15

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Solution

The fourth proportional to 292,980.84, 439,018.94 and 197,838.15 is: 296,451.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,980.84 : 439,018.94 = 197,838.15 : x
  2. Step 2: Convert to fraction form
    292,980.84/439,018.94 = 197,838.15/x
  3. Step 3: Cross multiply
    292,980.84x = 439,018.94 × 197,838.15
  4. Step 4: Simplify right side
    292,980.84x = 86,854,693,915.37
  5. Step 5: Solve for x
    x = 86,854,693,915.37/292,980.84
  6. Step 6: Final answer
    x = 296,451.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.